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In algorithm optimization in reinforcement learning, how to deal with the exploration-exploitation dilemma is particularly important. Multi-armed bandit problem can optimize the proposed solutions by changing the reward distribution to…

机器学习 · 统计学 2022-03-28 Zhendong Shi , Ercan E. Kuruoglu , Xiaoli Wei

Modern stochastic optimization methods often rely on uniform sampling which is agnostic to the underlying characteristics of the data. This might degrade the convergence by yielding estimates that suffer from a high variance. A possible…

机器学习 · 统计学 2018-06-07 Zalán Borsos , Andreas Krause , Kfir Y. Levy

We consider a contextual combinatorial bandit problem where in each round a learning agent selects a subset of arms and receives feedback on the selected arms according to their scores. The score of an arm is an unknown function of the…

机器学习 · 统计学 2023-06-02 Taehyun Hwang , Kyuwook Chai , Min-hwan Oh

The multi-armed bandit (MAB) problem is a ubiquitous decision-making problem that exemplifies exploration-exploitation tradeoff. Standard formulations exclude risk in decision making. Risknotably complicates the basic reward-maximising…

机器学习 · 计算机科学 2021-05-17 Ming Liang Ang , Eloise Y. Y. Lim , Joel Q. L. Chang

Mobile health (mHealth) programs face a critical challenge in optimizing the timing of automated health information calls to beneficiaries. This challenge has been formulated as a collaborative multi-armed bandit problem, requiring online…

机器学习 · 计算机科学 2024-10-31 Arpan Dasgupta , Gagan Jain , Arun Suggala , Karthikeyan Shanmugam , Milind Tambe , Aparna Taneja

Many efficient algorithms with strong theoretical guarantees have been proposed for the contextual multi-armed bandit problem. However, applying these algorithms in practice can be difficult because they require domain expertise to build…

机器学习 · 计算机科学 2018-10-23 Adam N. Elmachtoub , Ryan McNellis , Sechan Oh , Marek Petrik

We consider a resource-aware variant of the classical multi-armed bandit problem: In each round, the learner selects an arm and determines a resource limit. It then observes a corresponding (random) reward, provided the (random) amount of…

机器学习 · 计算机科学 2022-10-18 Viktor Bengs , Eyke Hüllermeier

This work formulates model selection as an infinite-armed bandit problem, namely, a problem in which a decision maker iteratively selects one of an infinite number of fixed choices (i.e., arms) when the properties of each choice are only…

神经与进化计算 · 计算机科学 2024-06-21 Margaux Brégère , Julie Keisler

We consider the problem of online allocation subject to a long-term fairness penalty. Contrary to existing works, however, we do not assume that the decision-maker observes the protected attributes -- which is often unrealistic in practice.…

机器学习 · 计算机科学 2023-12-05 Mathieu Molina , Nicolas Gast , Patrick Loiseau , Vianney Perchet

A key feature of sequential decision making under uncertainty is a need to balance between exploiting--choosing the best action according to the current knowledge, and exploring--obtaining information about values of other actions. The…

机器学习 · 计算机科学 2021-08-27 Dimitrije Markovic , Hrvoje Stojic , Sarah Schwoebel , Stefan J. Kiebel

Thompson sampling has proven effective across a wide range of stationary bandit environments. However, as we demonstrate in this paper, it can perform poorly when applied to non-stationary environments. We attribute such failures to the…

机器学习 · 计算机科学 2025-05-06 Yueyang Liu , Xu Kuang , Benjamin Van Roy

The early sections of this paper present an analysis of a Markov decision model that is known as the multi-armed bandit under the assumption that the utility function of the decision maker is either linear or exponential. The analysis…

最优化与控制 · 数学 2012-03-22 Eric V. Denardo , Eugene A. Feinberg , Uriel G. Rothblum

Time-constrained decision processes have been ubiquitous in many fundamental applications in physics, biology and computer science. Recently, restart strategies have gained significant attention for boosting the efficiency of…

机器学习 · 计算机科学 2020-07-02 Semih Cayci , Atilla Eryilmaz , R. Srikant

In many biomedical, science, and engineering problems, one must sequentially decide which action to take next so as to maximize rewards. One general class of algorithms for optimizing interactions with the world, while simultaneously…

机器学习 · 统计学 2021-05-05 Iñigo Urteaga , Chris H. Wiggins

This paper is in the field of stochastic Multi-Armed Bandits (MABs), i.e. those sequential selection techniques able to learn online using only the feedback given by the chosen option (a.k.a. $arm$). We study a particular case of the rested…

机器学习 · 统计学 2024-11-28 Marco Fiandri , Alberto Maria Metelli , Francesco Trov`o

Stochastic multi-armed bandits form a class of online learning problems that have important applications in online recommendation systems, adaptive medical treatment, and many others. Even though potential attacks against these learning…

机器学习 · 计算机科学 2019-05-17 Fang Liu , Ness Shroff

We study Contextual Multi-Armed Bandits (CMABs) for non-episodic sequential decision making problems where the context includes both textual and numerical information (e.g., recommendation systems, dynamic portfolio adjustments, offer…

人工智能 · 计算机科学 2026-04-08 Uljad Berdica , Fernando Acero , Anton Ipsen , Parisa Zehtabi , Michael Cashmore , Manuela Veloso

Bandit algorithms sequentially accumulate data using adaptive sampling policies, offering flexibility for real-world applications. However, excessive sampling can be costly, motivating the devolopment of early stopping methods and reliable…

统计理论 · 数学 2025-02-06 Zihan Cui

The Poisson compound decision problem is a long-standing problem in statistics, where empirical Bayes methodologies are commonly used to estimate Poisson's means in static or batch domains. In this paper, we study the Poisson compound…

统计方法学 · 统计学 2025-06-10 Stefano Favaro , Sandra Fortini

Efficient exploration in bandits is a fundamental online learning problem. We propose a variant of Thompson sampling that learns to explore better as it interacts with bandit instances drawn from an unknown prior. The algorithm meta-learns…